Replace bathroom ceiling with drop ceiling?

[Jennifer Rysdam]

I bought this 8-plex in April. A single older guy moved out of a 2nd floor apartment. We remodeled the whole thing. A family of 3 moved in and now the ceiling in the bathroom below has been leaking off an on. At first I thought maybe they had overflowed the toilet or tub. We fixed the ceiling and then it started leaking again. I went in and ripped out the whole ceiling above the tub and toilet. Turns out the drain pipe on the tub is leaking and the ceiling was just covered in mold. It must have been leaking for a while, but nobody ever noticed because the older guy didn't shower as much and it didn't ever get wet enough to show or drip. Thinking it might make more sense to put in a drop ceiling. That way future leaks won't be so hard to detect or fix, plus a small leak won't lead to a bunch of mold before you notice it. It would also allow for air flow up there too.
I'm looking for anyone who has experience and thinks it's a good idea, or anyone who can think of a reason not to do it. I'm not worried about it affecting value or anything. It's a small town and my 2 bedrooms go for $500 a month.
Thanks!